Finite Group Databasebeta

← #31736566

Subgroups — #31736566

Order 17152.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574008C211yesmaximal, characteristic, complemented
2#22574006C211yesmaximal, characteristic, complemented
3#22573170C211yesmaximal, characteristic, complemented
4#22573168C211yesmaximal, characteristic, complemented
5#22573167C211yesmaximal, characteristic, complemented
6#22573166C211yesmaximal, characteristic, complemented
7#22573164C211yesmaximal, characteristic, complemented
8#22573163C211yesmaximal, characteristic, complemented
9#22573162C211yesmaximal, characteristic, complemented
10#22573112C211yesmaximal, characteristic, complemented
11#22573111C211yesmaximal, characteristic, complemented
12#22573111C211yesmaximal, characteristic, complemented
13#22573110C211yesmaximal, characteristic, complemented
14#22573109C211yesmaximal, characteristic, complemented
15#22573108C211yesmaximal, characteristic, complemented
16#22573106C211yesmaximal, characteristic, complemented
17#22573105C211yesmaximal, characteristic, complemented
18#22570738C211yesmaximal, characteristic, complemented
19#22570736C211yesmaximal, characteristic, complemented
20#22570730C211yesmaximal, characteristic, complemented
21#22570039C211yesmaximal, characteristic, complemented
22#22570039C211yesmaximal, characteristic, complemented
23#22570037C211yesmaximal, characteristic, complemented
24#22570033C211yesmaximal, characteristic, complemented
25#22570004C211yesmaximal, characteristic, complemented
26#22570001C211yesmaximal, characteristic, complemented
27#22569145C211yesmaximal, characteristic, complemented
28#22569058C211yesmaximal, characteristic
29#22569056C211yesmaximal, characteristic
30#442×D67C211yesmaximal, characteristic
31C67×#3389C211yesmaximal, characteristic, complemented
32C2×D8×D67C2211yescharacteristic
33#16864107C2211yescharacteristic, complemented
34#16864106C2211yescharacteristic, complemented
35#16864105C2211yescharacteristic, complemented
36#16864105C2211yescharacteristic, complemented
37#16864104—21no—
38#16864104—21no—
39#16864103C2211yescharacteristic, complemented
40#16864103C2211yescharacteristic, complemented
41#16864102C2211yescharacteristic, complemented
42#16864102C2211yescharacteristic, complemented
43#16864102C2211yescharacteristic, complemented
44#16864102C2211yescharacteristic, complemented
45#16864101—21no—
46#16864101—21no—
47#16864100—21no—
48#16864100—21no—
49Q8×D268C2211yescharacteristic, complemented
50D4×Dic134C2211yescharacteristic, complemented
51D4×Dic134C2211yescharacteristic, complemented
52#16864061C2211yescharacteristic, complemented
53#16864059—21no—
54#16864059—21no—
55#16864026C2211yescharacteristic
56#16864026C2211yescharacteristic
57#16864026C2211yescharacteristic
58#16864023C2211yescharacteristic
59#16864021—21no—
60#16864021—21no—
61#16864021—21no—
62#16864021—21no—
63#16863952C2211yescharacteristic
64#16863951C2211yescharacteristic
65#16863950C2211yescharacteristic
66C2×#14524023—21no—
67C2×#14524021—21no—
68C22⋊Q8×D67—21no—
69C22⋊Q8×D67—21no—
70#16863868C2211yescharacteristic
71#16863868C2211yescharacteristic
72#16863868C2211yescharacteristic
73#16863868C2211yescharacteristic
74C4×D4×D67C2211yescharacteristic
75C4×D4×D67C2211yescharacteristic
76#16863806C2211yescharacteristic, complemented
77#16863806C2211yescharacteristic, complemented
78#16863806C2211yescharacteristic, complemented
79#16863805C2211yescharacteristic, complemented
80#16863805C2211yescharacteristic, complemented
81#16863804C2211yescharacteristic, complemented
82#16863804C2211yescharacteristic, complemented
83#16863804C2211yescharacteristic, complemented
84#16863804C2211yescharacteristic, complemented
85#16863804C2211yescharacteristic, complemented
86#16863803C2211yescharacteristic, complemented
87#16863803C2211yescharacteristic, complemented
88#16863803C2211yescharacteristic, complemented
89#16863802C2211yescharacteristic, complemented
90#16863797C2211yescharacteristic, complemented
91#16863796C2211yescharacteristic, complemented
92#16863795C2211yescharacteristic, complemented
93#16863794C2211yescharacteristic, complemented
94#16863793C2211yescharacteristic, complemented
95#16863793C2211yescharacteristic, complemented
96#16863792C2211yescharacteristic, complemented
97#16863699C2211yescharacteristic, complemented
98#16863699C2211yescharacteristic, complemented
99#16863699C2211yescharacteristic, complemented
100#16863699C2211yescharacteristic, complemented
101#16863698C2211yescharacteristic, complemented
102#16863698C2211yescharacteristic, complemented
103#16863698C2211yescharacteristic, complemented
104#16863698C2211yescharacteristic, complemented
105#16863697C2211yescharacteristic, complemented
106#16863697C2211yescharacteristic, complemented
107#16863696C2211yescharacteristic, complemented
108#16863696C2211yescharacteristic, complemented
109#16863695C2211yescharacteristic, complemented
110#16863695C2211yescharacteristic, complemented
111#16863694C2211yescharacteristic, complemented
112#16863694C2211yescharacteristic, complemented
113#16863693C2211yescharacteristic, complemented
114#16863693C2211yescharacteristic, complemented
115#16863693C2211yescharacteristic, complemented
116#16863693C2211yescharacteristic, complemented
117#16863687C2211yescharacteristic, complemented
118#16863687C2211yescharacteristic, complemented
119#16863687C2211yescharacteristic, complemented
120#16863686C2211yescharacteristic, complemented
121#16863686C2211yescharacteristic, complemented
122#16863685C2211yescharacteristic, complemented
123#16863685C2211yescharacteristic, complemented
124#16863684C2211yescharacteristic, complemented
125#16863684C2211yescharacteristic, complemented
126#16863684C2211yescharacteristic, complemented
127#16863684C2211yescharacteristic, complemented
128#16863683C2211yescharacteristic, complemented
129#16863677C2211yescharacteristic, complemented
130#16863676C2211yescharacteristic, complemented
131#16863676C2211yescharacteristic, complemented
132#16863675C2211yescharacteristic, complemented
133#16863675C2211yescharacteristic, complemented
134#16863675C2211yescharacteristic, complemented
135#16863675C2211yescharacteristic, complemented
136#16863674C2211yescharacteristic, complemented
137#16863674C2211yescharacteristic, complemented
138#16863673C2211yescharacteristic, complemented
139#16863527C2211yescharacteristic, complemented
140#16863526C2211yescharacteristic, complemented
141#16863525C2211yescharacteristic, complemented
142#16863525C2211yescharacteristic, complemented
143#16863524C2211yescharacteristic, complemented
144#16863524C2211yescharacteristic, complemented
145#16863523C2211yescharacteristic, complemented
146#16863509C2211yescharacteristic
147#16863509C2211yescharacteristic
148#16863508C2211yescharacteristic
149#16863508C2211yescharacteristic
150#16863507C2211yescharacteristic
151#16863507C2211yescharacteristic
152#16863506C2211yescharacteristic
153#16863506C2211yescharacteristic
154#16863506C2211yescharacteristic
155#16863506C2211yescharacteristic
156#16863505C2211yescharacteristic
157#16863505C2211yescharacteristic
158#16863505C2211yescharacteristic
159#16863505C2211yescharacteristic
160C4×D536C2211yescharacteristic
161D8×Dic67C2211yescharacteristic
162#16863478C2211yescharacteristic
163C4×#11761613C2211yescharacteristic
164C4×#11761613C2211yescharacteristic
165#16863476C2211yescharacteristic
166#16863476C2211yescharacteristic
167#16863437C2211yescharacteristic
168#16863437C2211yescharacteristic
169#16863437C2211yescharacteristic
170#16863435C2211yescharacteristic
171#16863433C2211yescharacteristic
172#16863433C2211yescharacteristic
173#16863431C2211yescharacteristic
174#16863431C2211yescharacteristic
175#106×D67C2211yescharacteristic
176#16863421C2211yescharacteristic
177#16863421C2211yescharacteristic
178#16863418C2211yescharacteristic
179#16863399C2211yescharacteristic
180#16863399C2211yescharacteristic
181#16863399C2211yescharacteristic
182#16863399C2211yescharacteristic
183#102×D67C2211yescharacteristic
184#102×D67C2211yescharacteristic
185#16863353C2211yescharacteristic
186#16863350C2211yescharacteristic
187#97×D67C2211yescharacteristic
188#554×C67C2211yescharacteristic, complemented
189#554×C67C2211yescharacteristic, complemented
190#501×C67C2211yescharacteristic, complemented
191#501×C67C2211yescharacteristic, complemented
192#499×C67C2211yescharacteristic, complemented
193#478×C67C2211yescharacteristic, complemented
194#478×C67C2211yescharacteristic, complemented
195#478×C67C2211yescharacteristic, complemented
196#478×C67C2211yescharacteristic, complemented
197#474×C67C2211yescharacteristic, complemented
198#474×C67C2211yescharacteristic, complemented
199#446×C67C2211yescharacteristic, complemented
200#442×C67C2211yescharacteristic
201#442×C67C2211yescharacteristic
202C4×D8×C67C2211yescharacteristic
203C22×Dic134—21no—
204C22×Dic134—21no—
205C2×Q8×D67—21no—
206C2×Q8×D67—21no—
207C2×D4×D67C2311yescharacteristic
208C2×D4×D67C2311yescharacteristic
209C22×C4×D67—21no—
210C22×C4×D67—21no—
211C2×D536C2311yescharacteristic
212C2×#11761613C2311yescharacteristic
213C2×#11761613C2311yescharacteristic
214D8×D67Q818yescomplemented
215C2×#11761611C2311yescharacteristic
216C2×#11761611C2311yescharacteristic
217C2×C8×D67C2311yescharacteristic
218C2×C8×D67C2311yescharacteristic
219#14524043C2311yescharacteristic
220#14524043C2311yescharacteristic
221#14524043C2311yescharacteristic
222#14524043C2311yescharacteristic
223#14524042—21no—
224#14524042—21no—
225#14524042—21no—
226#14524042D411yescharacteristic
227#14524042C2311yescharacteristic
228#14524042C2311yescharacteristic
229#14524042C2311yescharacteristic
230#14524042C2311yescharacteristic
231#14524042C2311yescharacteristic
232#14524042C2311yescharacteristic
233#14524041—21no—
234#14524041D411yescharacteristic
235#14524035C2311yescharacteristic
236#14524035C2311yescharacteristic
237#14524034C2311yescharacteristic
238#14524034C2311yescharacteristic
239#14524034C2311yescharacteristic
240#14524034C2311yescharacteristic
241#14524034C2311yescharacteristic
242#14524034C2311yescharacteristic
243#14524033—21no—
244#14524033—21no—
245#14524033—21no—
246#14524033—21no—
247#14524033D411yescharacteristic
248#14524033D411yescharacteristic
249#14524023—21no—
250#14524023—21no—
251#14524023—21no—
252#14524023—21no—
253#14524023—21no—
254#14524023—21no—
255#14524023—21no—
256#14524023—21no—
257#14524023—21no—
258#14524023—21no—
259#14524023—21no—
260#14524023—21no—
261#14524023D411yescharacteristic
262#14524022—21no—
263#14524022—21no—
264#14524022—21no—
265#14524022—21no—
266#14524022—21no—
267#14524022—21no—
268#14524021—21no—
269#14524021—21no—
270#14524021—21no—
271#14524021—21no—
272#14524021—21no—
273#14524021—21no—
274#14524021—21no—
275#14524021—21no—
276#14524021—21no—
277#14524021—21no—
278#14524021—21no—
279#14524021—21no—
280#14524021—21no—
281#14524021—21no—
282#14524021—21no—
283#14524021—21no—
284#14524021—21no—
285#14524021—21no—
286#14524021D411yescharacteristic
287#14524021D411yescharacteristic
288#14524020—21no—
289#14524020—21no—
290#14524020—21no—
291#14524020—21no—
292#14524020—21no—
293#14524020—21no—
294#14524020—21no—
295#14524020—21no—
296#14524020—21no—
297#14524020—21no—
298#14524020—21no—
299#14524020—21no—
300#14524019—21no—
301#14524019—21no—
302#14524019—21no—
303#14524019—21no—
304#14524019—21no—
305#14524019—21no—
306#14524019D411yescharacteristic
307Q8×Dic67—21no—
308C4×Dic134C2311yescharacteristic
309C4×Dic134C2311yescharacteristic
310C4×Dic134C2311yescharacteristic
311#14524008—21no—
312#14524008—21no—
313#14524008—21no—
314C4×D268C2311yescharacteristic
315C4×D268C2311yescharacteristic
316C4×D268C2311yescharacteristic
317C4×D268C2311yescharacteristic
318C4×D268C2311yescharacteristic
319C4×D268C2311yescharacteristic
320D4×Dic67C2311yescharacteristic
321D4×Dic67C2311yescharacteristic
322D4×Dic67C2311yescharacteristic
323D4×Dic67C2311yescharacteristic
324D4×Dic67C2311yescharacteristic
325D4×Dic67C2311yescharacteristic
326#14524005C2311yescharacteristic
327#14524005C2311yescharacteristic
328#14524005C2311yescharacteristic
329#14524005C2311yescharacteristic
330#14524005C2311yescharacteristic
331#14524005C2311yescharacteristic
332C4×C22⋊D67—21no—
333C4×C22⋊D67—21no—
334C4×C22⋊D67—21no—
335C4×C22⋊D67—21no—
336C4×C22⋊D67—21no—
337C4×C22⋊D67—21no—
338(C22⋊D67)⋊C4—21no—
339(C22⋊D67)⋊C4—21no—
340(C22⋊D67)⋊C4—21no—
341(C22⋊D67)⋊C4—21no—
342(C22⋊D67)⋊C4—21no—
343(C22⋊D67)⋊C4—21no—
344#14524001C2311yescharacteristic
345#14524001C2311yescharacteristic
346#14524001C2311yescharacteristic
347#14524001C2311yescharacteristic
348#14524000C2311yescharacteristic
349#14524000C2311yescharacteristic
350C2×C4⋊Dic67—21no—
351C2×C4⋊Dic67—21no—
352C2×Dic67⋊C4—21no—
353C2×Dic67⋊C4—21no—
354C4⋊C4×D67—21no—
355C4⋊C4×D67—21no—
356C4⋊C4×D67—21no—
357C4⋊C4×D67—21no—
358C4⋊C4×D67—21no—
359C4⋊C4×D67—21no—
360C4⋊C4×D67C2311yescharacteristic
361C4⋊C4×D67C2311yescharacteristic
362C2×(C2×D67)⋊C4—21no—
363C2×(C2×D67)⋊C4—21no—
364C2×(C2×D67)⋊C4—21no—
365C2×(C2×D67)⋊C4—21no—
366C22⋊C4×D67—21no—
367C22⋊C4×D67—21no—
368C22⋊C4×D67—21no—
369C22⋊C4×D67—21no—
370C22⋊C4×D67—21no—
371C22⋊C4×D67—21no—
372C42×D67C2311yescharacteristic
373#14523977C2311yescharacteristic
374#14523977C2311yescharacteristic
375#14523977C2311yescharacteristic
376#14523976C2311yescharacteristic
377#14523976C2311yescharacteristic
378#14523976C2311yescharacteristic
379#14523976C2311yescharacteristic
380#14523976C2311yescharacteristic
381#14523976C2311yescharacteristic
382#14523976C2311yescharacteristic
383#14523976C2311yescharacteristic
384#14523975C2311yescharacteristic
385#14523975C2311yescharacteristic
386#14523975C2311yescharacteristic
387#14523975C2311yescharacteristic
388#14523975C2311yescharacteristic
389#14523975C2311yescharacteristic
390#14523974C2311yescharacteristic
391#14523974C2311yescharacteristic
392#14523974C2311yescharacteristic
393#14523974C2311yescharacteristic
394#14523974C2311yescharacteristic
395#14523974C2311yescharacteristic
396#14523974C2311yescharacteristic
397#14523974C2311yescharacteristic
398#14523974C2311yescharacteristic
399#14523974C2311yescharacteristic
400C4⋊(C67⋊C8)C2311yescharacteristic
401C4⋊(C67⋊C8)C2311yescharacteristic
402C4⋊(C67⋊C8)C2311yescharacteristic
403Dic67⋊C8C2311yescharacteristic
404Dic67⋊C8C2311yescharacteristic
405Dic67⋊C8C2311yescharacteristic
406Dic67⋊C8C2311yescharacteristic
407Dic67⋊C8C2311yescharacteristic
408Dic67⋊C8C2311yescharacteristic
409#14523965C2311yescharacteristic
410#14523965C2311yescharacteristic
411#14523965C2311yescharacteristic
412#14523965C2311yescharacteristic
413#14523965C2311yescharacteristic
414#14523965C2311yescharacteristic
415#14523964C2311yescharacteristic
416#14523964C2311yescharacteristic
417#14523964C2311yescharacteristic
418#14523964C2311yescharacteristic
419#14523964C2311yescharacteristic
420#14523964C2311yescharacteristic
421#14523963C2311yescharacteristic
422#14523963C2311yescharacteristic
423#14523963C2311yescharacteristic
424#14523963C2311yescharacteristic
425#14523963C2311yescharacteristic
426#14523963C2311yescharacteristic
427#14523954C2311yescharacteristic
428#14523954C2311yescharacteristic
429#14523953C2311yescharacteristic
430#14523953C2311yescharacteristic
431#14523953C2311yescharacteristic
432#14523953C2311yescharacteristic
433C4×C67⋊C8C2311yescharacteristic
434C8×Dic67C2311yescharacteristic
435C8×Dic67C2311yescharacteristic
436C2×D8×C67C2311yescharacteristic
437C4⋊Q8×C67C2311yescharacteristic
438C4⋊Q8×C67C2311yescharacteristic
439#125×C67C2311yescharacteristic
440#125×C67C2311yescharacteristic
441#125×C67C2311yescharacteristic
442#125×C67C2311yescharacteristic
443C22⋊Q8×C67—21no—
444C22⋊Q8×C67—21no—
445C22⋊Q8×C67—21no—
446C22⋊Q8×C67—21no—
447C22⋊Q8×C67—21no—
448C22⋊Q8×C67—21no—
449C4×Q8×C67C2311yescharacteristic
450C4×D4×C67C2311yescharacteristic
451C4×D4×C67C2311yescharacteristic
452C4×D4×C67C2311yescharacteristic
453C4×D4×C67C2311yescharacteristic
454C4×D4×C67C2311yescharacteristic
455C4×D4×C67C2311yescharacteristic
456C2×C4⋊C4×C67—21no—
457C2×C4⋊C4×C67—21no—
458#107×C67C2311yescharacteristic
459#107×C67C2311yescharacteristic
460#107×C67C2311yescharacteristic
461#107×C67C2311yescharacteristic
462#107×C67C2311yescharacteristic
463#106×C67C2311yescharacteristic
464#106×C67C2311yescharacteristic
465#106×C67C2311yescharacteristic
466#106×C67C2311yescharacteristic
467C4⋊C8×C67C2311yescharacteristic
468C4⋊C8×C67C2311yescharacteristic
469C4⋊C8×C67C2311yescharacteristic
470#102×C67C2311yescharacteristic
471#102×C67C2311yescharacteristic
472#102×C67C2311yescharacteristic
473#102×C67C2311yescharacteristic
474#102×C67C2311yescharacteristic
475#102×C67C2311yescharacteristic
476#97×C67C2311yescharacteristic
477#97×C67C2311yescharacteristic
478C4×C8×C67C2311yescharacteristic
479C23×D67—21no—
480C23×D67—21no—
481C2×Dic134—21no—
482C2×Dic134—21no—
483C2×Dic134—21no—
484C2×Dic134—21no—
485C2×Dic134—21no—
486C2×Dic134—21no—
487C2×Dic134—21no—
488C2×Dic134—21no—
489C2×Dic134—21no—
490C2×Dic134—21no—
491C2×Dic134—82no—
492C2×Dic134—82no—
493C2×Dic134C2×D411yescharacteristic
494C2×Dic134C2×D411yescharacteristic
495C2×Dic134C2×D411yescharacteristic
496Q8×D67—82no—
497Q8×D67—82no—
498C2×D268C2411yescharacteristic
499C2×D268C2411yescharacteristic
500C2×C22⋊D67—21no—
501C2×C22⋊D67—21no—
502D4×D67—22no—
503D4×D67—22no—
504D4×D67C2×Q814yescomplemented
505D4×D67C2×Q814yescomplemented
506C22×Dic67—21no—
507C22×Dic67—21no—
508C22×Dic67—21no—
509C22×Dic67—21no—
510C22×Dic67—21no—
511C22×Dic67—21no—
512C2×C4×D67—21no—
513C2×C4×D67—21no—
514C2×C4×D67—21no—
515C2×C4×D67—21no—
516C2×C4×D67—21no—
517C2×C4×D67—21no—
518C2×C4×D67—21no—
519C2×C4×D67—21no—
520C2×C4×D67—21no—
521C2×C4×D67—21no—
522C2×C4×D67—21no—
523C2×C4×D67—21no—
524C2×C4×D67—21no—
525C2×C4×D67—21no—
526C2×C4×D67—82no—
527C2×C4×D67—82no—
528C2×C4×D67C2×D411yescharacteristic
529C2×C4×D67C2×D411yescharacteristic
530C2×C4×D67C2411yescharacteristic
531D536C2×Q814yescomplemented
532#11761613C2×Q814yescomplemented
533#11761613C2×Q814yescomplemented
534#11761611—22no—
535#11761611—22no—
536C2×C67⋊C8C2411yescharacteristic
537C2×C67⋊C8C2411yescharacteristic
538C2×C67⋊C8C2411yescharacteristic
539C2×C67⋊C8C2411yescharacteristic
540C8×D67—22no—
541C8×D67C2×Q814yescomplemented
542C4⋊Dic67—21no—
543C4⋊Dic67—21no—
544C4⋊Dic67—21no—
545C4⋊Dic67—21no—
546C4⋊Dic67—21no—
547C4⋊Dic67—21no—
548C4⋊Dic67—21no—
549C4⋊Dic67—21no—
550C4⋊Dic67—21no—
551C4⋊Dic67—21no—
552C4⋊Dic67C2×D411yescharacteristic
553C4⋊Dic67C2×D411yescharacteristic
554C4⋊Dic67C2×D411yescharacteristic
555C4⋊Dic67C2411yescharacteristic
556C4⋊Dic67C2411yescharacteristic
557C4⋊Dic67C2411yescharacteristic
558C4⋊Dic67C2411yescharacteristic
559C4⋊Dic67C2411yescharacteristic
560C4⋊Dic67C2411yescharacteristic
561Dic67⋊C4—21no—
562Dic67⋊C4—21no—
563Dic67⋊C4—21no—
564Dic67⋊C4—21no—
565Dic67⋊C4—21no—
566Dic67⋊C4—21no—
567Dic67⋊C4—21no—
568Dic67⋊C4—21no—
569Dic67⋊C4—21no—
570Dic67⋊C4—21no—
571Dic67⋊C4—21no—
572Dic67⋊C4—21no—
573Dic67⋊C4—21no—
574Dic67⋊C4—21no—
575Dic67⋊C4—21no—
576Dic67⋊C4—21no—
577Dic67⋊C4—21no—
578Dic67⋊C4—21no—
579Dic67⋊C4C2×D411yescharacteristic
580Dic67⋊C4C2×D411yescharacteristic
581Dic67⋊C4C2×D411yescharacteristic
582Dic67⋊C4C2×D411yescharacteristic
583Dic67⋊C4C2×D411yescharacteristic
584Dic67⋊C4C2×D411yescharacteristic
585Dic67⋊C4C2×D411yescharacteristic
586Dic67⋊C4C2×D411yescharacteristic
587Dic67⋊C4C2×D411yescharacteristic
588Dic67⋊C4C2×D411yescharacteristic
589C22⋊Dic67—21no—
590C22⋊Dic67—21no—
591C22⋊Dic67—21no—
592C22⋊Dic67—21no—
593C22⋊Dic67—21no—
594C22⋊Dic67—21no—
595(C2×D67)⋊C4—21no—
596(C2×D67)⋊C4—21no—
597(C2×D67)⋊C4—21no—
598(C2×D67)⋊C4—21no—
599(C2×D67)⋊C4—21no—
600(C2×D67)⋊C4—21no—
601(C2×D67)⋊C4—21no—
602(C2×D67)⋊C4—21no—
603(C2×D67)⋊C4—21no—
604(C2×D67)⋊C4—21no—
605(C2×D67)⋊C4—21no—
606(C2×D67)⋊C4—21no—
607(C2×D67)⋊C4—21no—
608(C2×D67)⋊C4—21no—
609(C2×D67)⋊C4—21no—
610(C2×D67)⋊C4—21no—
611(C2×D67)⋊C4C2×D411yescharacteristic
612(C2×D67)⋊C4C2×D411yescharacteristic
613(C2×D67)⋊C4C2×D411yescharacteristic
614(C2×D67)⋊C4C2×D411yescharacteristic
615C4×Dic67—21no—
616C4×Dic67—21no—
617C4×Dic67—21no—
618C4×Dic67—21no—
619C4×Dic67C2×D411yescharacteristic
620C4×Dic67C2×D411yescharacteristic
621C4×Dic67C2411yescharacteristic
622C4×Dic67C2411yescharacteristic
623C4×Dic67C2411yescharacteristic
624C2×Q8×C67—21no—
625C2×Q8×C67—21no—
626C2×Q8×C67C2×D411yescharacteristic
627C2×D4×C67C2411yescharacteristic
628C2×D4×C67C2411yescharacteristic
629C22×C4×C67—21no—
630C22×C4×C67—21no—
631C22×C4×C67—21no—
632C22×C4×C67—21no—
633C22×C4×C67—21no—
634C22×C4×C67—21no—
635D8×C67C2×Q814yescomplemented
636C2×C8×C67C2411yescharacteristic
637C2×C8×C67C2411yescharacteristic
638C2×C8×C67C2411yescharacteristic
639C2×C8×C67C2411yescharacteristic
640C4⋊C4×C67—21no—
641C4⋊C4×C67—21no—
642C4⋊C4×C67—21no—
643C4⋊C4×C67—21no—
644C4⋊C4×C67—21no—
645C4⋊C4×C67—21no—
646C4⋊C4×C67—21no—
647C4⋊C4×C67—21no—
648C4⋊C4×C67—21no—
649C4⋊C4×C67—21no—
650C4⋊C4×C67C2×D411yescharacteristic
651C4⋊C4×C67C2×D411yescharacteristic
652C4⋊C4×C67C2×D411yescharacteristic
653C4⋊C4×C67C2411yescharacteristic
654C4⋊C4×C67C2411yescharacteristic
655C4⋊C4×C67C2411yescharacteristic
656C4⋊C4×C67C2411yescharacteristic
657C4⋊C4×C67C2411yescharacteristic
658C4⋊C4×C67C2411yescharacteristic
659C22⋊C4×C67—21no—
660C22⋊C4×C67—21no—
661C22⋊C4×C67—21no—
662C22⋊C4×C67—21no—
663C22⋊C4×C67—21no—
664C22⋊C4×C67—21no—
665C42×C67C2411yescharacteristic
666C42×C67C2411yescharacteristic
667C42×C67C2411yescharacteristic
668C23×C67—21no—
669C23×C67—21no—
670C22×D67—21no—
671C22×D67—21no—
672C22×D67—24no—
673C22×D67—24no—
674C22×D67—81no—
675C22×D67—81no—
676C22×D67—81no—
677C22×D67—81no—
678C22×D67C22×D411yescharacteristic
679Q8×C67—41no—
680Q8×C67—81no—
681Q8×C67—81no—
682D4×C67—21no—
683D4×C67—21no—
684D4×C67C22×Q812yes—
685D4×C67C22×Q812yes—
686C2×C4×C67—21no—
687C2×C4×C67—21no—
688C2×C4×C67—21no—
689C2×C4×C67—21no—
690C2×C4×C67—21no—
691C2×C4×C67—21no—
692C2×C4×C67—42no—
693C2×C4×C67—81no—
694C2×C4×C67—81no—
695C2×C4×C67—81no—
696C2×C4×C67—81no—
697C2×C4×C67—81no—
698C2×C4×C67C22×D411yescharacteristic
699C2×C4×C67C22×D411yescharacteristic
700C2×C4×C67C22×D411yescharacteristic
701C2×C4×C67C22×D411yescharacteristic
702C2×C4×C67C22×D411yescharacteristic
703C2×C4×C67C22×D411yescharacteristic
704C2×C4×C67C2511yescharacteristic
705C22⋊D67—24no—
706C22⋊D67—24no—
707C2×Dic67—21no—
708C2×Dic67—21no—
709C2×Dic67—21no—
710C2×Dic67—21no—
711C2×Dic67—21no—
712C2×Dic67—21no—
713C2×Dic67—42no—
714C2×Dic67—81no—
715C2×Dic67—81no—
716C2×Dic67—81no—
717C2×Dic67—81no—
718C2×Dic67—81no—
719C2×Dic67C22×D411yescharacteristic
720C2×Dic67C22×D411yescharacteristic
721C2×Dic67C22×D411yescharacteristic
722C2×Dic67C22×D411yescharacteristic
723C2×Dic67C22×D411yescharacteristic
724C2×Dic67C22×D411yescharacteristic
725C2×Dic67C22×D411yescharacteristic
726D268—21no—
727D268—21no—
728D268C22×Q812yes—
729D268C22×Q812yes—
730C4×D67—41no—
731C4×D67—41no—
732C4×D67—42no—
733C4×D67—42no—
734C4×D67—81no—
735C4×D67—81no—
736C4×D67—81no—
737C4×D67—81no—
738C4×D67—81no—
739C4×D67—81no—
740C4×D67—81no—
741C4×D67—81no—
742C4×D67—81no—
743C4×D67—81no—
744C4×D67—81no—
745C4×D67—81no—
746C4×D67C22×Q812yes—
747C4×D672−1+412yes—
748Dic134—41no—
749Dic134—41no—
750Dic134—41no—
751Dic134—42no—
752Dic134—42no—
753Dic134—81no—
754Dic134—81no—
755Dic134—81no—
756Dic134—81no—
757Dic134—81no—
758Dic134—81no—
759Dic134—81no—
760Dic134—81no—
761C8×C67—21no—
762C8×C67—21no—
763C8×C67—21no—
764C8×C67C22×Q812yes—
765C67⋊C8—21no—
766C67⋊C8—21no—
767C67⋊C8—21no—
768C67⋊C8C22×Q812yes—
769C22×C67—22no—
770C22×C67—22no—
771C22×C67—41no—
772C22×C67—41no—
773C22×C67—41no—
774C22×C67—41no—
775C22×C67C23×D411yescharacteristic
776C2×D67—21no—
777C2×D67—21no—
778C2×D67—22no—
779C2×D67—22no—
780C2×D67—41no—
781C2×D67—41no—
782C2×D67—41no—
783C2×D67—41no—
784C2×D67—84no—
785C2×D67—84no—
786C2×D67D4×Q812yes—
787C4×C67—21no—
788C4×C67—21no—
789C4×C67—21no—
790C4×C67—21no—
791C4×C67—21no—
792C4×C67—21no—
793C4×C67—41no—
794C4×C67—41no—
795C4×C67—41no—
796C4×C67—41no—
797C4×C67—41no—
798C4×C67—41no—
799C4×C67C23×Q811yescharacteristic
800C4×C67C2×2−1+411yescharacteristic
801Dic67—21no—
802Dic67—21no—
803Dic67—21no—
804Dic67—21no—
805Dic67—21no—
806Dic67—21no—
807Dic67—41no—
808Dic67—41no—
809Dic67—41no—
810Dic67—41no—
811Dic67—41no—
812Dic67—41no—
813Dic67D4×Q812yes—
814#61378—671nomaximal, Sylow
815C2×C67—42no—
816C2×C67—42no—
817C2×C67C2×D4×Q811yescharacteristic
818C2×C67#358511yescharacteristic
819C2×C67#358511yescharacteristic
820D67—22no—
821D67—42no—
822D67—42no—
823#3501—671no—
824#3501—671no—
825#3389—671no—
826#3389—671no—
827#3389—671no—
828#3389—671no—
829#3389—671no—
830#3389—671no—
831#3389—671no—
832#3389D6711yescharacteristic, complemented
833#3384—671no—
834#3384—671no—
835#3384—671no—
836#3384—671no—
837#3384—671no—
838#3384—671no—
839#3384—671no—
840#3384—671no—
841#3163—671no—
842#3163—671no—
843#3162—671no—
844#3081—671no—
845#3081—671no—
846#3081—671no—
847#3081—671no—
848#3077—671no—
849#3077—671no—
850#2961—671no—
851#2948—671no—
852#2948—671no—
853C2×#442—671no—
854C67#6137811yescharacteristic, complemented, Sylow
855C22×D8—671no—
856#554—671no—
857#554—671no—
858#554—671no—
859#554—671no—
860#554—671no—
861#554—671no—
862#554—671no—
863#554—671no—
864#554—671no—
865#554—671no—
866#554—1341no—
867#554—1341no—
868#554—1341no—
869#554—1341no—
870#554—1341no—
871#554—1341no—
872#554C2×D6711yescharacteristic, complemented
873#554C2×D6711yescharacteristic, complemented
874D4×Q8—671no—
875D4×Q8—671no—
876D4×Q8—671no—
877D4×Q8—671no—
878D4×Q8—1341no—
879D4×Q8—1341no—
880#544—671no—
881#544—671no—
882#544—671no—
883#544—671no—
884#543—1341no—
885#543—1341no—
886#543—1341no—
887#543—1341no—
888#533—671no—
889#533—671no—
890#533—671no—
891C2×C22⋊Q8—1341no—
892C2×C22⋊Q8—1341no—
893C2×C22⋊Q8—1341no—
894C2×C22⋊Q8—1341no—
895#518—671no—
896#518—671no—
897#518—671no—
898#518—671no—
899C2×C4×D4—671no—
900C2×C4×D4—671no—
901#501—671no—
902#501—671no—
903#501—671no—
904#501—671no—
905#501—671no—
906#501—671no—
907#501—671no—
908#501—671no—
909#501—671no—
910#501—671no—
911#501—671no—
912#501—671no—
913#501—671no—
914#501—671no—
915#501C2×D6711yescharacteristic, complemented
916#501C2×D6711yescharacteristic, complemented
917#499—671no—
918#499—671no—
919#499—671no—
920#499C2×D6711yescharacteristic, complemented
921#498—671no—
922#498—671no—
923#498—671no—
924#498—671no—
925#478—671no—
926#478—671no—
927#478—671no—
928#478—671no—
929#478—671no—
930#478—671no—
931#478—671no—
932#478—671no—
933#478—671no—
934#478—671no—
935#478—671no—
936#478—671no—
937#478—671no—
938#478—671no—
939#478—671no—
940#478—671no—
941#478—671no—
942#478—671no—
943#478—671no—
944#478—671no—
945#478C2×D6711yescharacteristic, complemented
946#478C2×D6711yescharacteristic, complemented
947#478C2×D6711yescharacteristic, complemented
948#478C2×D6711yescharacteristic, complemented
949#476—671no—
950#476—671no—
951#476—671no—
952#476—671no—
953#476—671no—
954#476—671no—
955#476—671no—
956#476—671no—
957#476—671no—
958#476—671no—
959#476—671no—
960#476—671no—
961#474—671no—
962#474—671no—
963#474—671no—
964#474—671no—
965#474—671no—
966#474—671no—
967#474—671no—
968#474—671no—
969#474—671no—
970#474—671no—
971#474C2×D6711yescharacteristic, complemented
972#474C2×D6711yescharacteristic, complemented
973#446—671no—
974#446—671no—
975#446—671no—
976#446—671no—
977#446—671no—
978#446—671no—
979#446—671no—
980#446C2×D6711yescharacteristic, complemented
981#442—671no—
982#442—671no—
983#442—671no—
984#442—671no—
985#442—671no—
986#442—671no—
987#442—671no—
988#442—671no—
989#442—671no—
990#442—671no—
991#442—671no—
992#442—671no—
993#442—671no—
994#442—671no—
995#442C2×D6711yescharacteristic
996#442C2×D6711yescharacteristic
997C4×D8—671no—
998C4×D8—671no—
999C4×D8—671no—
1000C4×D8—671no—
1001C4×D8—671no—
1002C4×D8—671no—
1003C4×D8—671no—
1004C4×D8C2×D6711yescharacteristic
1005#428—671no—
1006#428—671no—
1007#428—671no—
1008#428—671no—
1009#427—671no—
1010#427—671no—
1011#427—671no—
1012#427—671no—
1013C2×#106—671no—
1014#424—671no—
1015#424—671no—
1016#423—671no—
1017#418—671no—
1018#418—671no—
1019#418—671no—
1020#418—671no—
1021C2×#102—671no—
1022C2×#102—671no—
1023#405—671no—
1024#405—671no—
1025C2×#97—671no—
1026C22×Q8—1341no—
1027C22×Q8—1341no—
1028C22×Q8—1341no—
1029C22×Q8—1341no—
1030C22×D4—671no—
1031C22×D4—671no—
1032C23×C4—1341no—
1033C23×C4—1341no—
1034C2×D8—671no—
1035C2×D8—671no—
1036C2×D8—678no—
1037C2×D8—671no—
1038C2×D8C22×D6711yescharacteristic
1039C2×M16—671no—
1040C2×M16—671no—
1041C22×C8—671no—
1042C22×C8—671no—
1043C4⋊Q8—671no—
1044C4⋊Q8—671no—
1045C4⋊Q8—671no—
1046C4⋊Q8—671no—
1047C4⋊Q8—671no—
1048C4⋊Q8—671no—
1049C4⋊Q8—671no—
1050C4⋊Q8—671no—
1051C4⋊Q8—671no—
1052C4⋊Q8—671no—
1053C4⋊Q8—671no—
1054C4⋊Q8—671no—
1055C4⋊Q8—1341no—
1056C4⋊Q8—1341no—
1057C4⋊Q8—1341no—
1058C4⋊Q8—1341no—
1059C4⋊Q8C22×D6711yescharacteristic
1060C4⋊Q8C22×D6711yescharacteristic
1061#125—671no—
1062#125—671no—
1063#125—671no—
1064#125—671no—
1065#125—671no—
1066#125—671no—
1067#125—671no—
1068#125—671no—
1069#125—671no—
1070#125—671no—
1071#125—1341no—
1072#125—1341no—
1073#125—1341no—
1074#125—1341no—
1075#125C22×D6711yescharacteristic
1076#125C22×D6711yescharacteristic
1077#125C22×D6711yescharacteristic
1078#125C22×D6711yescharacteristic
1079C22⋊Q8—21no—
1080C22⋊Q8—21no—
1081C22⋊Q8—21no—
1082C22⋊Q8—21no—
1083C22⋊Q8—21no—
1084C22⋊Q8—21no—
1085C22⋊Q8—671no—
1086C22⋊Q8—671no—
1087C22⋊Q8—671no—
1088C22⋊Q8—671no—
1089C22⋊Q8—1341no—
1090C22⋊Q8—1341no—
1091C22⋊Q8—1341no—
1092C22⋊Q8—1341no—
1093C22⋊Q8—1341no—
1094C22⋊Q8—1341no—
1095C22⋊Q8—1341no—
1096C22⋊Q8—1341no—
1097C22⋊Q8—1341no—
1098C22⋊Q8—1341no—
1099C22⋊Q8—1341no—
1100C22⋊Q8—1341no—
1101C22⋊Q8—1341no—
1102C22⋊Q8—1341no—
1103C22⋊Q8—1341no—
1104C22⋊Q8—1341no—
1105C22⋊Q8—1341no—
1106C22⋊Q8—1341no—
1107C22⋊Q8—1341no—
1108C22⋊Q8—1341no—
1109C22⋊Q8—1341no—
1110C22⋊Q8—1341no—
1111C22⋊Q8—1341no—
1112C22⋊Q8—1341no—
1113C22⋊Q8—1341no—
1114C22⋊Q8—1341no—
1115C22⋊Q8—1341no—
1116C22⋊Q8—1341no—
1117C22⋊Q8—1341no—
1118C22⋊Q8—1341no—
1119C22⋊Q8—1341no—
1120C22⋊Q8—1341no—
1121C22⋊Q8—1341no—
1122C22⋊Q8—1341no—
1123C22⋊Q8—1341no—
1124C22⋊Q8—1341no—
1125C22⋊Q8—1341no—
1126C22⋊Q8—1341no—
1127C22⋊Q8—1341no—
1128C22⋊Q8—1341no—
1129C22⋊Q8—1341no—
1130C22⋊Q8—1341no—
1131C22⋊Q8—1341no—
1132C22⋊Q8—1341no—
1133C22⋊Q8—1341no—
1134C22⋊Q8—1341no—
1135C22⋊Q8—1341no—
1136C22⋊Q8—1341no—
1137C22⋊Q8—1341no—
1138C22⋊Q8—1341no—
1139C22⋊Q8—1341no—
1140C22⋊Q8—1341no—
1141C22⋊Q8—1341no—
1142C22⋊Q8—1341no—
1143C4×Q8—671no—
1144C4×Q8—671no—
1145C4×Q8—671no—
1146C4×Q8—1341no—
1147C4×Q8—1341no—
1148C4×Q8—1341no—
1149C4×Q8—1341no—
1150C4×Q8C22×D6711yescharacteristic
1151C4×D4—671no—
1152C4×D4—671no—
1153C4×D4—671no—
1154C4×D4—671no—
1155C4×D4—671no—
1156C4×D4—671no—
1157C4×D4—671no—
1158C4×D4—671no—
1159C4×D4—671no—
1160C4×D4—671no—
1161C4×D4—671no—
1162C4×D4—671no—
1163C4×D4—671no—
1164C4×D4—671no—
1165C4×D4—671no—
1166C4×D4—671no—
1167C4×D4—671no—
1168C4×D4—671no—
1169C4×D4—1341no—
1170C4×D4—1341no—
1171C4×D4—1341no—
1172C4×D4—1341no—
1173C4×D4—1341no—
1174C4×D4—1341no—
1175C4×D4—1341no—
1176C4×D4—1341no—
1177C4×D4—1341no—
1178C4×D4—1341no—
1179C4×D4—1341no—
1180C4×D4—1341no—
1181C4×D4C22×D6711yescharacteristic
1182C4×D4C22×D6711yescharacteristic
1183C4×D4C22×D6711yescharacteristic
1184C4×D4C22×D6711yescharacteristic
1185C4×D4C22×D6711yescharacteristic
1186C4×D4C22×D6711yescharacteristic
1187#117—671no—
1188#117—671no—
1189#117—671no—
1190#117—671no—
1191#117—671no—
1192#117—671no—
1193C2×C4⋊C4—21no—
1194C2×C4⋊C4—21no—
1195C2×C4⋊C4—671no—
1196C2×C4⋊C4—671no—
1197C2×C4⋊C4—1341no—
1198C2×C4⋊C4—1341no—
1199C2×C4⋊C4—1341no—
1200C2×C4⋊C4—1341no—
1201C2×C4⋊C4—1341no—
1202C2×C4⋊C4—1341no—
1203C2×C4⋊C4—1341no—
1204C2×C4⋊C4—1341no—
1205C2×C4⋊C4—1341no—
1206C2×C4⋊C4—1341no—
1207C2×C22⋊C4—1341no—
1208C2×C22⋊C4—1341no—
1209C2×C22⋊C4—1341no—
1210C2×C22⋊C4—1341no—
1211C2×C22⋊C4—1341no—
1212C2×C22⋊C4—1341no—
1213C2×C22⋊C4—1341no—
1214C2×C22⋊C4—1341no—
1215C2×C22⋊C4—1341no—
1216C2×C22⋊C4—1341no—
1217C2×C42—671no—
1218#107—671no—
1219#107—671no—
1220#107—671no—
1221#107—671no—
1222#107—671no—
1223#107—671no—
1224#107—671no—
1225#107—671no—
1226#107—671no—
1227#107—671no—
1228#107—671no—
1229#107C22×D6711yescharacteristic
1230#107C22×D6711yescharacteristic
1231#107C22×D6711yescharacteristic
1232#107C22×D6711yescharacteristic
1233#107C22×D6711yescharacteristic
1234#106—671no—
1235#106—671no—
1236#106—671no—
1237#106—671no—
1238#106—671no—
1239#106—671no—
1240#106—671no—
1241#106—671no—
1242#106—671no—
1243#106—671no—
1244#106—671no—
1245#106—671no—
1246#106—671no—
1247#106—671no—
1248#106—671no—
1249#106—671no—
1250#106C22×D6711yescharacteristic
1251#106C22×D6711yescharacteristic
1252#106C22×D6711yescharacteristic
1253#106C22×D6711yescharacteristic
1254C4⋊C8—671no—
1255C4⋊C8—671no—
1256C4⋊C8—671no—
1257C4⋊C8—671no—
1258C4⋊C8—671no—
1259C4⋊C8—671no—
1260C4⋊C8—671no—
1261C4⋊C8—671no—
1262C4⋊C8—671no—
1263C4⋊C8C22×D6711yescharacteristic
1264C4⋊C8C22×D6711yescharacteristic
1265C4⋊C8C22×D6711yescharacteristic
1266#102—671no—
1267#102—671no—
1268#102—671no—
1269#102—671no—
1270#102—671no—
1271#102—671no—
1272#102—671no—
1273#102—671no—
1274#102—671no—
1275#102—671no—
1276#102—671no—
1277#102—671no—
1278#102—671no—
1279#102—671no—
1280#102—671no—
1281#102—671no—
1282#102—671no—
1283#102—671no—
1284#102C22×D6711yescharacteristic
1285#102C22×D6711yescharacteristic
1286#102C22×D6711yescharacteristic
1287#102C22×D6711yescharacteristic
1288#102C22×D6711yescharacteristic
1289#102C22×D6711yescharacteristic
1290#97—671no—
1291#97—671no—
1292#97—671no—
1293#97—671no—
1294#97—671no—
1295#97—671no—
1296#97C22×D6711yescharacteristic
1297#97C22×D6711yescharacteristic
1298C4×C8—671no—
1299C4×C8—671no—
1300C4×C8—671no—
1301C4×C8C22×D6711yescharacteristic
1302C24—1341no—
1303C24—1341no—
1304C2×Q8—21no—
1305C2×Q8—21no—
1306C2×Q8—5362no—
1307C2×Q8—5362no—
1308C2×Q8—5362no—
1309C2×Q8—5362no—
1310C2×Q8—671no—
1311C2×Q8—671no—
1312C2×Q8—671no—
1313C2×Q8—1341no—
1314C2×Q8—1341no—
1315C2×Q8—1341no—
1316C2×Q8—1341no—
1317C2×Q8—1341no—
1318C2×Q8—1341no—
1319C2×Q8—1341no—
1320C2×Q8—1341no—
1321C2×Q8—1341no—
1322C2×Q8—1341no—
1323C2×Q8D4×D6711yescharacteristic
1324C2×D4—674no—
1325C2×D4—674no—
1326C2×D4—671no—
1327C2×D4—671no—
1328C2×D4—1342no—
1329C2×D4—1342no—
1330C2×D4—1341no—
1331C2×D4—1341no—
1332C2×D4C23×D6711yescharacteristic
1333C2×D4C23×D6711yescharacteristic
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—5362no—
1341C22×C4—5362no—
1342C22×C4—671no—
1343C22×C4—671no—
1344C22×C4—671no—
1345C22×C4—1341no—
1346C22×C4—1341no—
1347C22×C4—1341no—
1348C22×C4—1341no—
1349C22×C4—1341no—
1350C22×C4—1341no—
1351C22×C4—1341no—
1352C22×C4—1341no—
1353C22×C4—1341no—
1354C22×C4—1341no—
1355C22×C4—1341no—
1356C22×C4—1341no—
1357C22×C4—1341no—
1358C22×C4—1341no—
1359C22×C4—1341no—
1360C22×C4—1341no—
1361C22×C4—1341no—
1362C22×C4—1341no—
1363C22×C4—1341no—
1364C22×C4—1341no—
1365D8—674no—
1366D8—674no—
1367D8—674no—
1368D8Q8×D6714yescomplemented
1369M16—1342no—
1370M16—1342no—
1371C2×C8—671no—
1372C2×C8—674no—
1373C2×C8—671no—
1374C2×C8—671no—
1375C2×C8—671no—
1376C2×C8—1342no—
1377C2×C8C23×D6711yescharacteristic
1378C2×C8C23×D6711yescharacteristic
1379C2×C8C23×D6711yescharacteristic
1380C2×C8C23×D6711yescharacteristic
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—671no—
1392C4⋊C4—671no—
1393C4⋊C4—671no—
1394C4⋊C4—671no—
1395C4⋊C4—671no—
1396C4⋊C4—671no—
1397C4⋊C4—671no—
1398C4⋊C4—671no—
1399C4⋊C4—671no—
1400C4⋊C4—671no—
1401C4⋊C4—671no—
1402C4⋊C4—671no—
1403C4⋊C4—671no—
1404C4⋊C4—671no—
1405C4⋊C4—671no—
1406C4⋊C4—671no—
1407C4⋊C4—671no—
1408C4⋊C4—671no—
1409C4⋊C4—671no—
1410C4⋊C4—1341no—
1411C4⋊C4—1341no—
1412C4⋊C4—1341no—
1413C4⋊C4—1341no—
1414C4⋊C4—1341no—
1415C4⋊C4—1341no—
1416C4⋊C4—1341no—
1417C4⋊C4—1341no—
1418C4⋊C4—1341no—
1419C4⋊C4—1341no—
1420C4⋊C4—1341no—
1421C4⋊C4—1341no—
1422C4⋊C4—1341no—
1423C4⋊C4—1341no—
1424C4⋊C4—1341no—
1425C4⋊C4—1341no—
1426C4⋊C4—1341no—
1427C4⋊C4—1341no—
1428C4⋊C4—1341no—
1429C4⋊C4—1341no—
1430C4⋊C4—1341no—
1431C4⋊C4—1341no—
1432C4⋊C4—1341no—
1433C4⋊C4—1341no—
1434C4⋊C4—1341no—
1435C4⋊C4—1341no—
1436C4⋊C4—1341no—
1437C4⋊C4—1341no—
1438C4⋊C4D4×D6711yescharacteristic
1439C4⋊C4D4×D6711yescharacteristic
1440C4⋊C4D4×D6711yescharacteristic
1441C4⋊C4C23×D6711yescharacteristic
1442C4⋊C4C23×D6711yescharacteristic
1443C4⋊C4C23×D6711yescharacteristic
1444C4⋊C4C23×D6711yescharacteristic
1445C4⋊C4C23×D6711yescharacteristic
1446C4⋊C4C23×D6711yescharacteristic
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—671no—
1454C22⋊C4—671no—
1455C22⋊C4—671no—
1456C22⋊C4—671no—
1457C22⋊C4—1341no—
1458C22⋊C4—1341no—
1459C22⋊C4—1341no—
1460C22⋊C4—1341no—
1461C22⋊C4—1341no—
1462C22⋊C4—1341no—
1463C22⋊C4—1341no—
1464C22⋊C4—1341no—
1465C22⋊C4—1341no—
1466C22⋊C4—1341no—
1467C22⋊C4—1341no—
1468C22⋊C4—1341no—
1469C22⋊C4—1341no—
1470C22⋊C4—1341no—
1471C22⋊C4—1341no—
1472C22⋊C4—1341no—
1473C22⋊C4—1341no—
1474C22⋊C4—1341no—
1475C22⋊C4—1341no—
1476C22⋊C4—1341no—
1477C22⋊C4—1341no—
1478C22⋊C4—1341no—
1479C42—671no—
1480C42—671no—
1481C42—671no—
1482C42—671no—
1483C42—671no—
1484C42—1341no—
1485C42—1341no—
1486C42—1341no—
1487C42—1341no—
1488C42C23×D6711yescharacteristic
1489C42C23×D6711yescharacteristic
1490C42C23×D6711yescharacteristic
1491C23—21no—
1492C23—21no—
1493C23—5361no—
1494C23—5361no—
1495C23—5361no—
1496C23—5361no—
1497C23—671no—
1498C23—1344no—
1499C23—1344no—
1500C23—1341no—
1501C23—1341no—
1502Q8—41no—
1503Q8—81no—
1504Q8—81no—
1505Q8—2682no—
1506Q8—2681no—
1507Q8—2681no—
1508Q8—2681no—
1509Q8—2682no—
1510Q8—5361no—
1511Q8—5361no—
1512Q8—5361no—
1513Q8—5361no—
1514Q8—5361no—
1515Q8—5361no—
1516Q8—5361no—
1517Q8—5361no—
1518D4—21no—
1519D4—21no—
1520D4—672no—
1521D4—672no—
1522D4—1344no—
1523D4—1344no—
1524D4—1341no—
1525D4—1341no—
1526D4C2×Q8×D6712yes—
1527D4C2×Q8×D6712yes—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—42no—
1535C2×C4—81no—
1536C2×C4—81no—
1537C2×C4—81no—
1538C2×C4—81no—
1539C2×C4—81no—
1540C2×C4—2682no—
1541C2×C4—2681no—
1542C2×C4—2681no—
1543C2×C4—2682no—
1544C2×C4—2682no—
1545C2×C4—5361no—
1546C2×C4—5361no—
1547C2×C4—5361no—
1548C2×C4—5361no—
1549C2×C4—5361no—
1550C2×C4—5361no—
1551C2×C4—5361no—
1552C2×C4—5361no—
1553C2×C4—5361no—
1554C2×C4—5361no—
1555C2×C4—5361no—
1556C2×C4—5361no—
1557C2×C4—5361no—
1558C2×C4—5361no—
1559C2×C4—5361no—
1560C2×C4—5361no—
1561C2×C4—5361no—
1562C2×C4—671no—
1563C2×C4—672no—
1564C2×C4—672no—
1565C2×C4—671no—
1566C2×C4—671no—
1567C2×C4—671no—
1568C2×C4—671no—
1569C2×C4—671no—
1570C2×C4—671no—
1571C2×C4—1341no—
1572C2×C4—1341no—
1573C2×C4—1341no—
1574C2×C4—1341no—
1575C2×C4—1341no—
1576C2×C4—1341no—
1577C2×C4C2×D4×D6711yescharacteristic
1578C2×C4C2×D4×D6711yescharacteristic
1579C2×C4C2×D4×D6711yescharacteristic
1580C2×C4C2×D4×D6711yescharacteristic
1581C2×C4C2×D4×D6711yescharacteristic
1582C2×C4C2×D4×D6711yescharacteristic
1583C2×C4C24×D6711yescharacteristic
1584C8—21no—
1585C8—21no—
1586C8—21no—
1587C8—672no—
1588C8—1341no—
1589C8—1341no—
1590C8—1341no—
1591C8C2×Q8×D6712yes—
1592C22—22no—
1593C22—22no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—2681no—
1599C22—2681no—
1600C22—2681no—
1601C22—2681no—
1602C22—5364no—
1603C22—5364no—
1604C22—672no—
1605C22—1342no—
1606C22—1342no—
1607C22—1341no—
1608C22—1341no—
1609C22C22×D4×D6711yescharacteristic
1610C4—21no—
1611C4—21no—
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—2681no—
1623C4—2681no—
1624C4—2681no—
1625C4—2681no—
1626C4—2681no—
1627C4—2681no—
1628C4—672no—
1629C4—1341no—
1630C4—1341no—
1631C4—1341no—
1632C4—1341no—
1633C4—1341no—
1634C4—1341no—
1635C4C22×Q8×D6711yescharacteristic
1636C42−1+4×D6711yescharacteristic
1637C2—42no—
1638C2—42no—
1639C2—2682no—
1640C2—2682no—
1641C2—1342no—
1642C2D4×Q8×D6711yescharacteristic
1643C2#2257498411yescharacteristic
1644C2#2257498611yescharacteristic
subgroupG/H
centerC22C22×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC67×#3389C2
socleC22×C67C23×D4
prime radicalC2×D8×D67C22
hypercenter#3389D67
hypocenterC67#61378
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3389

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #22574008C2semidirect
2. #22574006C2semidirect
3. #22573170C2semidirect
4. #22573168C2semidirect
5. #22573167C2semidirect
6. #22573166C2semidirect
7. #22573164C2semidirect
8. #22573163C2semidirect
9. #22573162C2semidirect
10. #22573112C2semidirect
11. #22573111C2semidirect
12. #22573111C2semidirect
13. #22573110C2semidirect
14. #22573109C2semidirect
15. #22573108C2semidirect
16. #22573106C2semidirect
17. #22573105C2semidirect
18. #22570738C2semidirect
19. #22570736C2semidirect
20. #22570730C2semidirect
21. #22570039C2semidirect
22. #22570039C2semidirect
23. #22570037C2semidirect
24. #22570033C2semidirect
25. #22570004C2semidirect
26. #22570001C2semidirect
27. #22569145C2semidirect
31. C67×#3389C2semidirect
33. #16864107C22semidirect
34. #16864106C22semidirect
35. #16864105C22semidirect
36. #16864105C22semidirect
39. #16864103C22semidirect
40. #16864103C22semidirect
41. #16864102C22semidirect
42. #16864102C22semidirect
43. #16864102C22semidirect
44. #16864102C22semidirect
49. Q8×D268C22semidirect
50. D4×Dic134C22semidirect
51. D4×Dic134C22semidirect
52. #16864061C22semidirect
76. #16863806C22semidirect
77. #16863806C22semidirect
78. #16863806C22semidirect
79. #16863805C22semidirect
80. #16863805C22semidirect
81. #16863804C22semidirect
82. #16863804C22semidirect
83. #16863804C22semidirect
84. #16863804C22semidirect
85. #16863804C22semidirect
86. #16863803C22semidirect
87. #16863803C22semidirect
88. #16863803C22semidirect
89. #16863802C22semidirect
90. #16863797C22semidirect
91. #16863796C22semidirect
92. #16863795C22semidirect
93. #16863794C22semidirect
94. #16863793C22semidirect
95. #16863793C22semidirect
96. #16863792C22semidirect
97. #16863699C22semidirect
98. #16863699C22semidirect
99. #16863699C22semidirect
100. #16863699C22semidirect
101. #16863698C22semidirect
102. #16863698C22semidirect
103. #16863698C22semidirect
104. #16863698C22semidirect
105. #16863697C22semidirect
106. #16863697C22semidirect
107. #16863696C22semidirect
108. #16863696C22semidirect
109. #16863695C22semidirect
110. #16863695C22semidirect
111. #16863694C22semidirect
112. #16863694C22semidirect
113. #16863693C22semidirect
114. #16863693C22semidirect
115. #16863693C22semidirect
116. #16863693C22semidirect
117. #16863687C22semidirect
118. #16863687C22semidirect
119. #16863687C22semidirect
120. #16863686C22semidirect
121. #16863686C22semidirect
122. #16863685C22semidirect
123. #16863685C22semidirect
124. #16863684C22semidirect
125. #16863684C22semidirect
126. #16863684C22semidirect
127. #16863684C22semidirect
128. #16863683C22semidirect
129. #16863677C22semidirect
130. #16863676C22semidirect
131. #16863676C22semidirect
132. #16863675C22semidirect
133. #16863675C22semidirect
134. #16863675C22semidirect
135. #16863675C22semidirect
136. #16863674C22semidirect
137. #16863674C22semidirect
138. #16863673C22semidirect
139. #16863527C22semidirect
140. #16863526C22semidirect
141. #16863525C22semidirect
142. #16863525C22semidirect
143. #16863524C22semidirect
144. #16863524C22semidirect
145. #16863523C22semidirect
188. #554×C67C22semidirect
189. #554×C67C22semidirect
190. #501×C67C22semidirect
191. #501×C67C22semidirect
192. #499×C67C22semidirect
193. #478×C67C22semidirect
194. #478×C67C22semidirect
195. #478×C67C22semidirect
196. #478×C67C22semidirect
197. #474×C67C22semidirect
198. #474×C67C22semidirect
199. #446×C67C22semidirect
214. D8×D67Q8semidirect
504. D4×D67C2×Q8semidirect
505. D4×D67C2×Q8semidirect
531. D536C2×Q8semidirect
532. #11761613C2×Q8semidirect
533. #11761613C2×Q8semidirect
541. C8×D67C2×Q8semidirect
635. D8×C67C2×Q8semidirect
832. #3389D67semidirect
854. C67#61378semidirect
872. #554C2×D67semidirect
873. #554C2×D67semidirect
915. #501C2×D67semidirect
916. #501C2×D67semidirect
920. #499C2×D67semidirect
945. #478C2×D67semidirect
946. #478C2×D67semidirect
947. #478C2×D67semidirect
948. #478C2×D67semidirect
971. #474C2×D67semidirect
972. #474C2×D67semidirect
980. #446C2×D67semidirect
1368. D8Q8×D67semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#225740082
#225740062
#225731702
#225731682
#225731672
#225731662
#225731642
#225731632
#225731622
#225731122
#225731112
#225731102
#225731092
#225731082
#225731062
#225731052
#225707382
#225707362
#225707302
#225700392
#225700372
#225700332
#225700042
#225700012
#225691452
#225690582
#225690562
#442×D672
C67×#33892
#6137867